37827428544 has 112 divisors (see below), whose sum is σ = 111302231040. Its totient is φ = 12598191360.

The previous prime is 37827428537. The next prime is 37827428549. The reversal of 37827428544 is 44582472873.

37827428544 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 74 + 28 + 544 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (37827428549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2118277 + ... + 2136059.

It is an arithmetic number, because the mean of its divisors is an integer number (993769920).

Almost surely, 2^37827428544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37827428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55651115520).

37827428544 is an abundant number, since it is smaller than the sum of its proper divisors (73474802496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37827428544 is a wasteful number, since it uses less digits than its factorization.

37827428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19035 (or 19019 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 37827428544 in words is "thirty-seven billion, eight hundred twenty-seven million, four hundred twenty-eight thousand, five hundred forty-four".